338393160000 has 1120 divisors, whose sum is σ = 1504849294080. Its totient is φ = 72769536000.

The previous prime is 338393159989. The next prime is 338393160011. The reversal of 338393160000 is 61393833.

338393160000 is a `hidden beast` number, since 338 + 3 + 9 + 316 + 0 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (338393159989) and next prime (338393160011).

It is a tau number, because it is divible by the number of its divisors (1120).

It is a super-2 number, since 2×338393160000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 128518684 + ... + 128521316.

Almost surely, 2^338393160000 is an apocalyptic number.

338393160000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338393160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752424647040).

338393160000 is an abundant number, since it is smaller than the sum of its proper divisors (1166456134080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

338393160000 is a wasteful number, since it uses less digits than its factorization.

338393160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2698 (or 2667 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The spelling of 338393160000 in words is "three hundred thirty-eight billion, three hundred ninety-three million, one hundred sixty thousand".